Heating and Heat Treatment | |

ArticleName | Usage of the MathConnex mathematical package for thermotechnical calculation of heating furnaces |

ArticleAuthor | O. B. Kryuchkov, N. I. Gabelchenko, P. I. Malenko, L. G. Saranin |

ArticleAuthorData | Volgograd State Technical University (Volgograd, Russia):
Tula State University (Tula, Russia): |

Abstract | Abstract: In this work, for the thermotechnical calculation of continuous and chamber heating furnaces intended for heating billets for metal forming and heat treatment using the MathConnex mathematical package (part of MacCad Pro), flowcharts of a sectional furnace and a rolling hearth furnace have been presented that contain blocks with initial and output data, as well as calculation blocks: “fuel”, “heating time”, “heat balance”, “burner, nozzle”, “recuperator” and “chimney”. The flowcharts are “assembled” on a monitor screen using the previously developed abovementioned blocks by interactive means using the corresponding “palette” and are connected by arrows-links showing the paths for transmission of the initial and calculated data. For readability, blocks with initial data and output parameters are written in the form of Microsoft Excel tables, and calculation blocks are compiled on the basis of MatCad Pro, saturated with necessary programs, and data transmitted from other blocks that are written in the form of formulas are “encoded” and calculated. The proposed scheme of thermotechnical calculation allows to «automate» the calculations: composition of the furnace atmosphere, calorimetric and actual temperature of combustion products, thermophysical parameters of metal, masonry, Fourier criterion, temperature criteria of the surface and center of the metal; allows to solve various equations, including a system of equations for determining the temperature between layers in a multilayer masonry, calculating the heating time of billets, etc. The developed fl owcharts with the aim to optimize the technological process allow their multiple use for various initial data: fuel compositions, types of burners, nozzles and recuperators, schemes for laying billets on the furnace hearth, thicknesses and materials of masonry furnaces, etc. In addition, the MathConnex mathematical package (part of MattСad Pro) allows to analyze in detail, including, using graphing, parameters of interest due to the additional tools “Ramp”, “Conditional” and “Stop or Pause”: selection of the furnace temperature at the beginning of heating in order to eliminate the occurrence of dangerous temperature stresses in the heated metal; ways to reduce heat loss with combustion products leaving the furnace; compare the effect of ferrous metal emissivity factor on the emission reduced coefficient, combustion products and the degree of masonry development; to consider the effect of the method of billets laying in the furnace on time and uniformity of their heating; the influence of the air ratio and the nitrogen/ air oxygen ratio on the combustion products volume and others. |

keywords | MathConnex mathematical package (part of MаthCad Pro), heat engineering calculation (fuel, billet heating time, internal dimensions of the furnace, heat balance, burners, nozzles, recuperator, chimney), pusher, chamber, heating and thermal furnaces, thermophysical parameters of metal, masonry and furnace atmosphere |

References | 1. Lange E. Technological leadership owing to innovative heat treatment technology. 7. Wang H., Li G., Lei Y., Zhao Y., Dai Q., Wang J. Mathematical heat transfer model research for the improvement of continuous casting slab temperature. ISIJ International. 2005. Vol. 45, Iss. 9. pp. 1291–1296.8. Jang J. H., Lee D. E., Kim M. Y., Kim H. G. Investigation of the slab heating characteristics in a reheating furnace with the formation and growth of scale on the slab surface. International Journal of Heat and Mass Transfer. 2010. Vol. 53. No. 19–20. pp. 4326–4332.9. Stephen P. T. Mathcad for Electrical Engineers and Technologists. Publisher: Stephen Philip Tubbs; Kniga po Trebovaniyu, 2009. 108 p. 10. Meriam J. L., Kraige L. G. Solving Statics Problems with MathCad. Publisher: John Wiley and Sons, 2001. 128 p. 11. Kryuchkov О. B. Application of physical modeling to determine the temperature field in the billet. Izvestiya Vuzov. Chernaya metallurgiya. 2018. Vol. 61. No. 1. pp. 12–20.12. Kryuchkov О. B., Malenko P. I., Konovalov S. S., Kostygova О. V. The study of the influence of the initial furnace temperature on the temperature drop across the section of a billet using physical modeling. Chernye Metally. 2018. No. 12. pp. 34–40.13. Redina Т. V. Study of construction and tuning imitation models in MathConnex integrator of the MathCad system. Information technologies in education: Proceedings of All-Russia scientific and practical Internet-conference. Saransk, 2010. pp. 80–82.14. Khomchenkov P. Yu., Pitolin V. М. Development of the model for radio communication line with frequency reuse on the base of the MathConnex program system. System quality challenges, mathematical modeling, information, electronic and laser technologies: Proceedings of the International conference and Russian scientific school. Moscow-Voronezh-Sochi, 2001. pp. 110–115.15. Ochkov V., Orlov K., Voloshchuk V. Thermal Engineering Studies with Excel, Mathcad and Internet. Springer International Publishing. Switzerland, 2016. 307 p. 16. Zongyu L., Barr P. V., Brimacombe J. K. Computer simulation of the slab reheating furnace. Canadian Metallurgical Quarterly. 1988. Vol. 27. No. 3. pp. pp. 187–196.17. Gorozhankin S. А., Shitov А. А., Savenkov N. V. Methods for approximation of dependences of several variables in the MS Excel and MathCad software environment. Nauchno-tekhnicheskie vedomosti Sankt-Peterburgskogo gosudarstvennogo politekhnicheskogo universiteta. Informatika. Telekommunikatsii. Upravlenie. 2016, Iss. 3 (247). pp. 35–47.18. Kapov S. N., Orlyansky А. V., Kozhukhov А. А., Petenev А. N., Yakovleva L. I. Features of statistical information processing in MS EXCEL. Scientific and methodological aspects for improving education quality: Proceedings of the scientifi c and methodological conference. Stavropol, 2017. 106–113 pp.19. Kapov S. N., Orlyansky А. V., Bobryshov А. V., Orlyanskaya I. А., Likhanos V. А. Construction of histograms for random distribution in the MATHCAD system. Scientific and methodological aspects for improving education quality: Proceedings of the scientific and methodological conference. Stavropol, 2017. pp. 113–122.20. Chernyak А. А., Kutereva А. А., Gorbach О. N. Symbiosis of MathCad and Excel is an eff ective mean for solution of mathematical and applied tasks. Informatizatsiya obrazovaniya. 2006. No. 4. pp. 50–60.21. Makarycheva А. I. Chromatographic data processing using Math-Cad software and MS Excel spreadsheets. Youth and modern information technologies: Proceedings of the XIII International scientific and practical conference of students, postgraduates and young scientists: in 2 volumes. Tomsk, 2016. pp. 278–279.22. Slidenko А. М., Shishkina L. А., Nepyshnevsky A. V., Agapova Е. А. Optimal solutions with examples in MS EXCEL and MathCad: tutorial. Voronezh: Voronezhsky gosudarstvenny agrarny universitet imeni Imperatora Petra I, 2013. 86 p. 23. Ioffe L. А., Goldobina Т. А. Application of MathCad and Excel in engineering tasks: tutorial. Gomel: BelGUT, 2015. 36 p. 24. Mastryukov B. S. Theory, design and calculations of metallurgical furnaces. In 2 volumes. Vol. 2. Design of metallurgical furnaces. Moscow: Metallurgiya, 1986. 376 p. 25. Kazantsev Е. I. Industrial furnaces. Moscow: Metallurgiya, 1975. 368 p. 26. Krivandin V. А., Arutyunov V. А., Belousov V. V., Krupennikov S. А., Sborshchikov G. S., Kobakhidze V. V., Egorov А. V., Filimonov Yu. P. Heat engineering of metallurgical production. Vol. 1. Theoretical fundamentals: tutorials for universities. Moscow: MISIS, 2002. 608 p. |

Language of full-text | russian |

Full content | Buy |